That's not the case, aside from that, having ones papers taken was and is an almost mundane punishment used againts very ordinary people. There are way, way more such non-enpersonned people than just second children, children of single women, or children from marriages of other "non-persons."

It is just this time, with the social credit, the state has finally got balls to go after high class bourgeois from megacities, and lower end elites.